math rules

direct proportion

y = kx

inverse proportion

y = k/x

to find overall upper bound with addition

upper bound + upper bound

to find overall upper bound with subtraction

upper bound - lower bound

to find overall upper bound with multiplication

upper bound x upper bound

to find overall upper bound with division

upper bound / lower bound

to find overall lower bound with addition

lower bound + lower bound

to find overall lower bound with subraction

lower bound - upper bound

to find overall lower bound with multiplication

lower bound x lower bound

to find overall lower bound with division

lower bound / upper bound

enlarged length - similar shape

scale factor = k

enlarged surface area - similar shape

scale factor = k²

enlarged volume/mass - similar shape

scale factor = k³

sum of interior sides

180 x (n-2)

y = f(x) + a

translation - moves up or down

+a = up

-a = down

y = f(x+a)

translation - move left of right

+a = move left

-a = move right

y = -f(x)

reflection in x axis

y = f(-x)

reflection in y-axis

discriminant

positive?

negative?

0?

b² - 4ac

positive - 2 solutions

negative - 0 solutions - no roots

0 - 1 solution

A∩B

intersect of A and B

numbers in BOTH A and B

AUB

union of A and B

elements in A or B or both

B’

complement of B

not in B

quadratic inequality
x² < 0

n < x < n

quadratic inequality
x² > 0

example : x²+3x-4>0

x > 1, x<-4